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Each question has four choices a, b, c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. Both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT1. Both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1: `|a d j(a d j(a d j A))|=|A|^(n-1)^3` , where `n` is order of matrix `Adot` Statement 2: `|a d jA|=|A|^ndot`

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Each question has four choices a,b,c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. If both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1 If both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. If STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. If STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1 : The area bounded by y=e^x , y=0a n dx=0 is 1 sq. unites. Statement 2 : The area bounded by y=(log)_e x ,x=0,a n dy=0 is 1 sq. units.

Each question has four choices, a,b,c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. If both the statement are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1. If both the statements are FALSE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. If STATEMENT 1 is TRUE and STATEMENT 2 is FLASE. If STATEMENT 1 is FALSE and STATEMENT 2 is TURE. Statement 1: Lagrange mean value theorem is not applicable to f(x)=|x-1|(x-1) Statement 2: |x-1| is not differentiable at x=1.

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CENGAGE PUBLICATION-MATRICES-All Questions
  1. A skew-symmetric matrix A satisfies the relation A^2+I=O ,w h e r e , ...

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  2. If A B=Aa n dB A=B , then a. A^2B=A^2 b. B^2A=B^2 c. A B A=A d....

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  3. Each question has four choices a, b, c and d, out of which only one is...

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  4. IfD=d i ag[d1, d2, dn] , then prove that f(D)=d i ag[f(d1),f(d2), ,f(...

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  5. If A is a skew-symmetric matrix and n is odd positive integer, then A^...

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  6. If F(x)=[("cos"x,-sin x,0),(sin x,cos x,0),(0,0,1)] and G(y)=[(cos y,0...

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  7. If f(alpha)=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[ 0, 0, 1]],...

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  8. Elements of a matrix A of order 10xx10 are defined as a("ij")=omega^(i...

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  9. If A is a 3xx3 skew-symmetric matrix, then trace of A is equal to -1 b...

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  10. If A and B are symmetric matrices of the same order and X=AB+BA and Y=...

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  11. The number of solutions of the matrix equation X^2=[[1, 1],[ 2, 3]] is...

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  12. If A^2-A+I=0, then the inverse of A is a. A^(-2) b. A+I c. I-A d. A-I

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  13. If [[2, 1],[ 3, 2]]A[[-3 ,2],[ 5,-3]]=[[1 ,0],[ 0, 1]], then "A= (...

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  14. If A and B are two nonzero square matrices of the same order such that...

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  15. Let K be a positive real number and A=[(2k-1,2sqrt(k),2sqrt(k)),(2sqrt...

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  16. Let X \ a n d \ Y be two arbitrary, 3xx3 , non-zero, skew-symmetric ma...

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  17. evaluate: int1/((x^2+1)(x^2+4))dx

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  18. Let M be a 2xx2 symmetric matrix with integer entries. Then M is inver...

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  19. For 3xx3 matrices M \ a n d \ N , which of the following statement (s)...

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  20. If B is an idempotent matrix, and A=I-B , then a. A^2=A b. A^2=I ...

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